Logarithmic Stability for Coefficients Inverse Problem of Coupled Wave Equations

Fangfang Dou; Masahiro Yamamoto

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arXiv · 2001.02379

Logarithmic Stability for Coefficients Inverse Problem of Coupled Wave Equations

Fangfang Dou·Masahiro Yamamoto

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Abstract

This paper investigates the identification of two coefficients in a coupled hyperbolic system with an observation on one component of the solution. Based on the the Carleman estimate for coupled wave equations a logarithmic type stability result is obtained by measurement data only in a suitably chosen subdomain under the assumption that the coefficients are given in a neighborhood of some subboundary.

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Fangfang Dou, Masahiro Yamamoto. 2020-01-08. Logarithmic Stability for Coefficients Inverse Problem of Coupled Wave Equations. https://arxiv.org/abs/2001.02379

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